Algebra 2 Final Review

Graphs 1

100

Describe the transformation of x²-8 from its parent function. 

8 units down

200

What is the domain and range of lx-3l+6

Domain: All real numbers

Range: 

Y>=6

300

Compare g(x)= 3|x+ 1|- 4 to its parent function f(x)=|x|

Vertical stretch of 3

1 Unit left

4 units down

400

Draw a graph that represents the following:

A person gives 10 dollars a week to pay back a 100 dollar loan.

See graph

500

Consider the quadratic function with equation 

y=a(x-h)+k

What effect does changing the value of k have on the graph of the function f? Changing the value of h?

H shifts the graph horizontally

K shifts the graph vertically.

Graphs 2

100

Write a function with a maximum value. Write a function with a minimum value

See board

200

What is the vertex of the function 

y= 19(x- 18)² -11

(18,-11)

300

What is the equation of a parabola with a vertex at (7,-4) thru the point (3, 4)?

B

y=−4(x+7)²−4

C

y=2(x+7)²−4

D

y=1/2(x−7)²−4

 

D

400

Which equation is the result of reflecting f(x) around the x-axis?

f(x)= 2(x+ 1)²+ 9

f(x)= -2(x+ 1)²+ 9

500

Which equation is the result of translating f(x) 6 units to the right?

f(x)= 2(x- 6)²+ 2

f(x)= 2(x- 12)²+ 2

Graphs 3

100

Write the function in vertex form:

x²-6x+7

(x-3)²-2

200

A ball is shot into the air from the edge of a building and follows the pattern:

h(t)= -3t²+ 24t+ 30

What is the height of the building?

The highest point the ball will reach?

Building is 30 ft

Highest point is 78 ft

300

Find the x-intercepts of:

y=x²+6x-16

x=-8 and x=2

400

Determine the axis of symmetry for the function:

y=x²+ 8x+ 6

x=-4

500

How can i find the solutions to a system of equations when looking at their graphs? 

The solutions are were the graphs intersect. 

Miscellaneous 1

100

Evaluate

squareroot -8

2isqrt(2) 

200

Determine the Leading Coefficient of the polynomial

f(x)= 9x²+ 3- 5x⁷+ 14x³

-5

300

Evaluate the polynomial:

(2x²+ 3x+ 5)+( 10x³+ 7x²- 8)

10x³+9x²+3x-3

400

Evaluate the polynomial:

(3x²+ 7x- 1)-( x²+2x- 3)

2x²+5x+2

500

Evaluate the polynomial:

(3i−5)(5i+2)

-19i-25

Miscellaneous 2

100

Solve for x: 3𝑥+ 2=9

7/3

200

Create 3 tables that represents a linear, a quadratic and a constant relationship.

See tables

300

Which ordered pair lies on the function 

g(x)= 2x+ 2

A

(3,4)

B

(−3,−4)

C

(3,48)

D

(−3,−48)

B

400

What is the solution to the system of equations below?

3x-4y= 1

x+2y= 7

(3,2)

500

Solve the quadratic.

3x²-6x+5=0

(3+-isqrt(6)) /3